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2 years ago

10

The directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it r

epresents.

2 answers:

Veronika [31]2 years ago

5 0

3:1 thats the answer yeah

Whitepunk [10]2 years ago

4 0

3:1 is your answer bruuuuuuhhhh

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The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

4 0

2 years ago

Read 2 more answers

Please help me out on this! i really need it!!

NeTakaya

Joni's calculation is the most accurate. Hope my answer helped u :)

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2 years ago

The length of a rectangle is 1 less than twice the width. Write the equation that could represent the area of the rectangle in t

Ipatiy [6.2K]

Answer:

(W2-1)xW

Step-by-step explanation:

The beginning of the equation represents the length as the question states it is one less than twice the width. Because you need to multiply width and length to get area, you place the length equation and parentheses and multiply the answer to the equation by the width :) Hope this helps!

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2 years ago

Noala brought 2 boxes of fruit bars to share with his football team. There are 12 bars in each box and 16 people on the team. If

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Each person would get 1.5 bars.

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2 years ago

Find the distance CA. Round to the nearest integer and include units.

Dmitry_Shevchenko [17]

9514 1404 393

Answer:

27 in

Step-by-step explanation:

The relationship between angle A, adjacent side AC, and hypotenuse AB is ...

Cos = Adjacent/Hypotenuse

cos(A) = AC/AB

Multiplying by AB, we get ...

AC = AB·cos(A)

AC = (30 in)cos(25°)

AC ≈ 27 in

6 0

2 years ago